What is 1.0005 as a fraction in simplest form.

Converting the decimal number 1.0005 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.

How to write 1.0005 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0005 can be broken down as:

Here, 1 is the whole number part, and 0.00049999999999994 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.00049999999999994, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 49999999999994/100000000000000000. To do this, find the greatest common divisor (GCD) of 49999999999994 and 100000000000000000.

• The GCD of 49999999999994 and 100000000000000000 is 2.

Now, divide both the numerator and the denominator by their GCD:

So, 0.00049999999999994 as a fraction is 24999999999997/50000000000000000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0005 = 1 + 0.00049999999999994, express the entire number as a mixed fraction:

Here, 5.0E+16/50000000000000000 is the whole number 1, and 24999999999997/50000000000000000 is the fractional part.

Final Result Answer

Fraction Form of 1.0005 After simplifying, we get the final fraction:

Conclusion

Converting 1.0005 to a fraction results in 5.0025E+16/50000000000000000. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.